math need it by October 23 night or October 24 morning before 7:30?

Question

MATH

True or False

Prime factoriziation renames a composite number as the product of prime factors __________


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there are 24 students in Mrs.walkers class. she wants to divide the class evenly into groups of at least 4 students . write the ways in which she can divide the class ????
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Answer 1

24 students
6 groups of 4
4 groups of 6
3 groups of 8
2 groups of 12

Answer 2

Careful. Ronald made a mistake in the solution he offered. That's what happens when you become more interested in the answer than in the thinking process.

You need to doodle and think and write out prime factorizations of composite numbers and doodle some more and think some more. That is called learning and sometimes it ain"t easy, but it is necessary to learn to think.

24 is a composite nmber and it can be rewritten (renamed if you wish) as 2 x 3 x 4.

True or fales: did I just rename the composite number 24 as the product prime factors?

So answer the first question.

Now the 24 students. Groups is plural so it implies at least two groups. So how many in each group? But you could have 3 groups. How many in each group? But you could have 4 groups. How many in each group. Could you have 12 groups of 2 in each group? Why or why not?

If you will follow this line of reasoning you will not only get the correct answers, but more important yet you will learn how to start thinking.

Answer 3

I wouldn't use the verb "renames"; "expresses", maybe? For example, the prime factorization of 144 is 2^4 * 3^2 The prime factorization of a number is unique (if you don't count 1 as a prime number), and of course prime numbers have a prime factorization as well (for example, the prime factorization of 2 is 2^1).

For the second question, which integers greater than or equal to 4, and less than 24, divide 24 evenly? (I don't think 1 group of 24 would count as a way to divide the class.)

Answer 4

1. Beats me

2. 2 groups of 12
3 groups of 8
4 groups of 6
6 roups of 4

what evenly factors into 24

Answer 5

Prime factoriziation renames a composite number as the product of prime factors...
greater than zero?

Answer 6

1) True
2) Groups of 4, 6, 8, or 12 (assuming she wants more than one group)